The heights of dogs, in inches, in a city are normally distributed with a population standard deviation of 7 inches and an unknown population mean. If a random sample of 20 dogs is taken and results in a sample mean of 21 inches, find a 95% confidence interval for the population mean. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.

Answers

Answer 1

Answer:

The 95% confidence interval  is  [tex] 17.932  <  \mu <  20  + 22.068[/tex]

Step-by-step explanation:

From the question we are told that

  The population standard deviation is  [tex]\sigma =7 \ inches[/tex]

  The sample size is  n  =  20

  The sample mean is  [tex]\= x = 20[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 1.96 *  \frac{7 }{\sqrt{20} }[/tex]

=>    [tex]E = 2.068[/tex]        

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>     [tex] 20  - 2.068  <  \mu <  20  + 2.068[/tex]

=>     [tex] 17.932  <  \mu <  20  + 22.068[/tex]


Related Questions

What is the value of | -5 | - (-5)?

Answers

|-5|-(-5)

The absolute value of any number is always positive

5-(-5)

When there is a in front of an expression in parentheses, change the sign of each term in the expression

5+5

Add the numbers

10

Answer=10

Write the explicit rule for the given the sequence: 125, 25, 5, ...

Answers

Answer:

An=125(1/5)^n-1

Step-by-step explanation:

r=common ratio

A1= first term in the sequence

I hope this helps some

The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

What is geometrical progression series?

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

The given GP series is 125, 25, 5, ...

First term a = 125

Common ratio = 25/125 = 1/5

The nth term will be given as ar^(n-1)

Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".

For more information about the geometrical progression,

brainly.com/question/4853032

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2 mi = ____ ft Please help! :((

Answers

Answer:

2 mi = 10560 ft

Step-by-step explanation:

you coulve searched it up

Answer:

you multiply it by 2 so its 10560


Use the equation machine to help you solve the
addition equation.
O k=8
Ok=9
O k=17
O k=2
For 100 points

Answers

Answer: k=8

Step-by-step explanation:

Answer:

k=8

Step-by-step explanation:

OMG HERE I AM ASKING THIS QUESTION FOR TH 3THIRD TIME SMH JUST ANSWER IT!!!!!!

Answers

Answer:

4 and 5 unsolved

Step-by-step explanation:

Answer:17/20

Step-by-step explanation: multiply the denominators by each other and then multiply the numerators by the opposite denominators and then add them both together- 4 x 5=20 1 x 5=5 3 x 4=12

5+12=17

17/20

simplest form

PLEASE HELP NOO NE ANSWERS IT THE RIGHT WAY. YOURE SUPPOSED TO FIND WHICH ONE HAS THE GREATER UNIT RATE (only question 13)

Answers

Answer:

The graph on the right.

Step-by-step explanation:

The graph has a higher unit rate because it's slope is 48.5, as opposed to the equation on the left which has a slope of 23.5

which of the following numbers is a multiple of 4


A. 734

B. 620

C. 626

D. 891

Answers

Answer:

the answer is B

Step-by-step explanation:

*a multiple of 4 means when a number is divided by 4, the answer will be a whole number

* a whole number is a number without fraction and decimal

A. 734/4 = 183.5 ❌

B. 620/4 = 155 ✅

C. 626/4 = 156.5 ❌

D. 891/4 = 222.75 ❌

Answer:

B. 620

Step-by-step explanation:

To find a multiple of 4, simply use the choices to divide by 4 and a multiple should end up with a WHOLE number, meaning there's no decimal or fraction.

You can simply get a calculator and do the following-

734 ÷ 4 = 183.5

⬆️ is NOT the answer because there's decimal

620 ÷ 4 = 155 ✔️

⬆️ IS the answer because it is a whole number

626 ÷ 4 = 156.4

⬆️ is NOT the answer because there's decimal

891 ÷ 4 = 222.75

⬆️ is NOT the answer because there's decimal

And finally, we can check our answer by using 155 × 4, and we get 620. That means 620 is a multiple of 4.

I hope this helps!
Please mark brainliest!
Have a great day!

Which product is positive?

Answers

Answer:

we need to see the product to be able to help you!

Determine whether the relationship is a function. Complete the explanation.


(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)

Answers

Answer:

the relationship is not a function

Step-by-step explanation:

it's not a function because two of the domains are the same.

The relationship represented by these ordered pairs is not a function.

We have,

To determine whether the relationship is a function, we need to check if each input (x-value) is associated with exactly one output (y-value).

If there is any x-value that is associated with multiple y-values, then the relationship is not a function.

Let's analyze the given set of ordered pairs:

(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)

Here, we can see that the x-value 8 is associated with both y-values 8 and 7.

Therefore, the relationship is not a function because one input (x-value) is mapped to multiple outputs (y-values).

In a function, each input must have a unique output, but in this case, the x-value 8 is associated with both 8 and 7 as the corresponding y-values.

Thus,

The relationship represented by these ordered pairs is not a function.

Learn more about functions here:

https://brainly.com/question/28533782

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Based on a large national sample of working adults, the U.S. Census Bureau reports the following information on travel time to work for those who do not work at home. Also given was the mean travel time, which was reported as 23.4 min.
Lower quartile 7 min
Median 18 min
Upper quartile 29 min
What is true of the travel time distribution?
A. It is positively skewed
B. It is approximately symmetric
C. It is negatively skewed

Answers

Answer:

Step-by-step explanation:

H3Y TH3R3 D1L1GH74 WH4T5 1T 71K3 1N NYC 1M 4 TH0US4-

Which of the following represents a reflection of (-3, 4) across the y-axis?
(-4, 3)
O (-3,-4)
O (3, 4)
O (4, -3)

Answers

(-4, 3) is the right one






s - 185 = -22
UwU help meh

Answers

Answer:

I believe you solve for s, the answer is s=136, please let me know if I am incorrect.

The answer is 163.
s- 185= -22
You would have to get the variable (s) on its own, so add 185 to both sides.
s= -22 +185= 163

PLEASE HELP RN! 50 POINTS IF YOU ANSWER THIS IS DUE TODAY

Answers

Answer:

I graphed this...

Step-by-step explanation:

It is not linear because it is not a strait line and it doesnt go through the middle!

Hope this helps! :)

40 Points answer fast
I will mark brainliest answer quickly
A carton has a length of fraction 2 and 1 over 4 feet, width of fraction 1 and 3 over 5 feet, and height of fraction 2 and 1 over 3 feet. What is the volume of the carton?

A: 4 and 1 over 3 cubic feet

B: 4 and 2 over 5 cubic feet

C: 8 and 1 over 4 cubic feet

D: 8 and 2 over 5 cubic feet

Answers

The correct answer is D

Answer:

c

Step-by-step explanation:

hope it helps

Certain mineral elements required by plants are classed as macronutrients. Macronutrients are measured in terms of their percentage of the dry weight of the plant. Proportions of each element vary in different species and in the same species grown under different conditions. One macronutrient is sulfur. In a study of winter cress, a member of the mustard family, these data, based on three independent random samples, are obtained:

Answers

Answer:

The value of μ will be "0.82".

Step-by-step explanation:

The given question is incomplete. Please find attachment of the complete question below.

The given three random samples are 0.8, 0.95 and 0.7.

Now,

⇒ [tex]\mu=\frac{\bar{x_1}+\bar{x_2}+\bar{x_3}}{3}[/tex]

On substituting the estimated values, we get

⇒    [tex]=\frac{0.8+0.95+0.7}{3}[/tex]

⇒    [tex]=\frac{2.45}{3}[/tex]

⇒    [tex]=0.82[/tex]

It will not rational here, considering the equivalent significance, since the sampling amount for sample 3 becomes somewhat big 200.

What is the degree of the polynomial 2x6+5x3−x2+100?

Answers

Answer: 25x+10?

Step-by-step explanation:

Answer:

uikjhukcopllpp

Step-by-step explanation:

pp98ii9ijjhhhjigctuicico8

An artifact had 16 grams of carbon-14 present. The decay model A=16e^-0.000121t describes the amount of carbon-14 present after t years. Use the model to determine how many grams of carbon-14 will be present in 8065 years

Answers

Answer:

129024.387

Step-by-step explanation:

16e^(-0.000121)*8065 = 129024.387

Solve for h .

-98 = -7 h

h =

Answers

Answer:

14

Step-by-step explanation:

Step 1:

- 98 = - 7h       Equation

Step 2:

- 98 ÷ - 7 = h      Divide on both sides

Answer:

h = 14

Hope This Helps :)

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-98=-7h  Equation/Question

Step 2

-98=-7h  Simplify

-98=-7h

Step 3

-98=-7h  Divide both sides

answer

h=14

Find the value of the variable that results in congruent triangles
1.

Answers

Answer:

x = 26

Step-by-step explanation:

m<B = m<E = (x + 17)°

180 - (25 + 112) = (x + 17) (sum of ∆)

180 - 137 = x + 17

43 = x + 17

Subtract both sides by 17

43 - 17 = x

x = 26

Suppose the national average dollar amount for an automobile insurance claim is $758.83. You work for an agency in Michigan and you are interested in whether or not the state average is less than the national average. The hypotheses for this scenario are as follows. Null Hypothesis: μ ≥ 758.83, Alternative Hypothesis: μ < 758.83. You take a random sample of claims and calculate a p-value of 0.0349 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.
A. The true average claim amount is significantly higher than $758.83.
B. The true average claim amount is higher than or equal to $758.83.
C. We did not find enough evidence to say the true average claim amount is less than $758.83.
D. The true average claim amount is significantly different from $758.83.
E. The true average claim amount is significantly less than $758.83.

Answers

Answer:

The  correct option is  E  

Step-by-step explanation:

From the question we are told that

    The  population mean is  [tex]\mu = \$ 758.83[/tex]

     The  null hypothesis  is [tex]H_o : \mu \ge 758.83[/tex]

      The alternative hypothesis is  [tex]H_a : \mu < 758.83[/tex]

      The  p-value is  [tex]p-value = 0.0349[/tex]

      The  level of significance is  [tex]\alpha = 0.05[/tex]

Generally from the value given we see that  the p-value  < [tex]\alpha[/tex] hence  

  The decision rule is  

Reject the null hypothesis  

 The  conclusion is  

    The true average claim amount is significantly less than $758.83.


Based on the graph, what does the point (0, 0) represent

Answers

Answer:

you didn't post the graph but (0,0) is the origin

Answer:

ok

Step-by-step explanation:

8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate? Use a proportion to explain.

Answers

Answer:

Yes

Step-by-step explanation:

Lisa and Frank type at the same rate.

They both type 1 page every six minutes.

Lisa types 6 pages every 36 minutes, and if we divide the minutes by the pages, we get

[tex]\frac{36}{6} = 6[/tex]

And Frank types 5 pages ever 30 minutes, when we divide we get

[tex]\frac{30}{5} = 6[/tex]

50 POINTS AND BRAINLIEST
The legs of a right triangle are 4 meters and 5 meters. Find the length of the hypotenuse. Round your answer to the nearest tenth.

6.0 meters
6.3 meters
6.4 meters
6.5 meters
6.6 meters
None of the above.

Answers

Answer:

uh is it 6.5???

Step-by-step explanation:

Franklin made $165,000 for the tax year
2017. How much did he pay in FICA taxes ?

Answers

Answer: $‭10,278.9‬0

Step-by-step explanation:

FICA taxes comprise of both the Social Security tax and the Medicare tax rate which in 2017 were 6.2% and 1.45% of income respectively.

The Social security portion is subject to a limit of $127,200 in income but there is no limit for the Medicare tax.

Franklin FICA = (127,200 * 6.2%) + (165,000 * 1.45%)

= ‭7,886.4‬0 + ‭2,392.5‬0

= $‭10,278.9‬0

Molly shared a spool of ribbon with 12 people. Each person received 3 feet of ribbon. Which equation can she use to find
r, the number of feet of ribbon that her spool originally had?

Answers

Answer: R/12=3

             

Step-by-step explanation: This is because / = divide so since we need to divide then multiply its better you go with /

Answer:D

Step-by-step explanation:

In a school choir there is 1 boy for every 4 girls. There is a total of 11 boys. How many girls are in the choir.

Answers

Answer:

44 Girls

Step-by-step explanation:

the question is in the photo

Answers

is it me or is the photo not showing?

Answer:

no photo lol

Step-by-step explanation:

Multiply (3) × (−4) × (2).

Plz

Answers

Answer:

-24

hope this helped! :3

Step-by-step explanation:

3 x -4 = -12

-12 x 2 = -24

Answer:

3× -4 = -12

-12 × 2=-24

Step-by-step explanation:

follow your sign discriptively take notice in change of ur sign.

+× - = -

- × - = +

+ × + = +

- × + = -

Not related to math:
Whats a good middle name for Asher? Its a boy name and its for a boy, we need suggestions C:

Answers

Asher James, Asher Roy, Asher Kane

It is possible for a quadratic function to have NO x-intercepts

Answers

Answer:

yes

Step-by-step explanation:

if they do not have x intercepts, the answer will have an imaginary number (i)

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